You are simply assuming that since Christopher Tolkien does not like the films, he is not open and broad-minded.

How do you know that he wouldn't have reacted positively to a different version of the films, created by a different director that better captured the spirit and tone of the books, from his perspective?

There is a tendency to assume that since someone does not share your opinion on something, they are closed-minded.

No, they just have a different opinion than you do on the matter.

The closed-minded person is the one who insists that a different opinion is evidence of closed-mindedness!

Personally, I am very open and broad-minded when it comes to social issues, art, etc. And I just think PJ's films aren't very good!